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Finding the Third Proportional to 196,632 and 296,560

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Solution

The third proportional to 196,632 and 296,560 is: 447,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,632 : 296,560 = 296,560 : x
  2. Step 2: Convert to fraction form
    196,632/296,560 = 296,560/x
  3. Step 3: Cross multiply
    196,632x = 296,560 × 296,560
  4. Step 4: Simplify right side
    196,632x = 87,947,833,600
  5. Step 5: Solve for x
    x = 87,947,833,600/196,632
  6. Step 6: Final answer
    x = 447,271.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.